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 },
 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
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  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
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  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Generalized bicycle (two-block) code on Z_292 (n = 2m = 584): a(x) = x^0 + x^1 + x^9, b(x) = x^0 + x^4 + x^182; H_X = [A|B], H_Z = [B^T|A^T] with A = a(S), B = b(S) for the m x m cyclic shift S (A[i, i+e mod m] = 1 for e in the support), equivalent, under the qubit relabeling i -> -i mod m inside each block, to research/kit/group_algebra.py build_2bga on the cyclic group Z_292 with supports a and b. k = 2 deg gcd(a, b, x^m - 1) = 18 by the designed common divisor.",
  "origin": "submission",
  "date": "2026-09-22",
  "model": "Claude Fable 5.1",
  "notes": "Found by a designed-divisor sweep over weight-3 pairs on Z_m sharing a common factor of x^m - 1 of degree at least 9 aimed at the weight-6 x unrestricted cell. Distance is a witness-backed upper bound; RIS ladder (verify/gf2_fast.cpp distance_rand_witness, pair depth 8): 2000 trials -> 16, 20000 -> 16, 200000 (seed 101) -> 16. Advances the weight-6 x unrestricted board; novelty vs the literature unverified. GPU RIS pass (verify/ris_gpu.py, 300,000,000 trials per side, seed 2026): lightest logical X 16, Z 16.",
  "search_budget": {
   "candidates_screened": 135,
   "ris_trials_per_side": 300000000,
   "wall_clock_hours": 1.0,
   "tool": "research/kit search funnel, gf2_fast RIS, verify/ris_gpu (A40)"
  }
 },
 "family": "generalized-bicycle"
}